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x+5z=-5+3y
Add 3y to both sides.
x=-5+3y-5z
Subtract 5z from both sides.
-3y+5z=-5-x
Subtract x from both sides.
-3y=-5-x-5z
Subtract 5z from both sides.
-3y=-x-5z-5
The equation is in standard form.
\frac{-3y}{-3}=\frac{-x-5z-5}{-3}
Divide both sides by -3.
y=\frac{-x-5z-5}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{x+5z+5}{3}
Divide -5-x-5z by -3.